simplify \(\frac{10}{\sqrt{32}}\)

  • A \(\frac{5}{4}\sqrt{2}\)
  • B \(\frac{4}{5}\sqrt{2}\)
  • C \(\frac{5}{16}\sqrt{2}\)
  • D \(\frac{16}{5}\sqrt{2}\)
waec 2000mathematics

The correct answer is A. \(\frac{5}{4}\sqrt{2}\)

\(\frac{10}{\sqrt{32}}=\frac{10}{\sqrt{16\times 2}} = \frac{10}{4\sqrt{2}}\\

\frac{10\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}=\frac{10\sqrt{2}}{4\times 2}= \frac{5}{4}\sqrt{2}\)

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